12 feet Receiver (6, 2) 2 feet

Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Solution is given below

Q: The surface of equation = 1 is: 16 A cone A circular cylinder A sphere An ellipsoid O O

A:

Q: Given an ellipse with major axis of length 2a and minor axis of length 2b, the area is given by A =…

A:

Q: The surface of equation= ++ = 1 is: - 4 16 An ellipsoid A circular cylinder A cone A sphere

A: Equation of ellipsoid

Q: 5. If the receiver is placed at the focus of the satelite dish shaped like a paraboloid which has a…

A: Let's find.

Q: Show that the parametrization of the ellipse by the angle 0 is ab cos e Va? sin? e + b2 cos2 0 ab…

A:

Q: Find the coordinates of the foci for the following hyperbola. (x – 1)? (y + 1)? 1 64 16

A: I am going to solve the given problem by comparing it with the standard form of hyperbola whose…

Q: A radio telescope in the Very Large Satellite Array at Socorro, New Mexico, has the shape of a…

A: Given, a radio telescope in the very large satellite Array at Socorro.New Mexico, has the shape of…

Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…

A:

Q: Charles and Bernice (“Ray”) Eames were American designers who made major contributions to modern…

A: coffee table 90 in. long and 30 in with center at (0,0)So, 2a=90 and 2b=30a=45, b=15

Q: If the directrix of a parabola is x = 2, and the focus is (−4, 0), determine the focal length and…

A: Draw the focus (-4,0) and directrix x=2 Distance from focus to directrix is 2-(-4)= 6 Focal length…

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: 4.17 feet

Q: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: Which quadric surface is represented by the equation below? 22 = 1 16 y? 4 Ellipsoid Cone Elliptic…

A:

Q: Use the properties of an ellipse to show that your equation from question 3 has the appropriate…

A: An ellipse is the set of all points (x,y) in a plane such that the sum of their distances from two…

Q: radiation is focused to an unhealthy area in a patient’s body using a semi elliptical reflector,…

A: Given that width of the reflector=100cm          And height of the reflector=30cm Here the foci lie…

Q: The surface of equation + = 1 is: A cone O An ellipsoid O A sphere O A circular cylinder

A: The given equation is, x24+y29+z216=1

Q: A horizontal bridge is in the shape of a parabolic arch.Given the information shown in the figure,…

A: A horizontal bridge is in the shape of a parabolic arch. Given the information shown in the figure…

Q: What are the distances from the point (x, y) to the focus of the parabola and the directrix? Select…

A:

Q: 1-sketch the following hyperboloid z² – x² – y² = 1 %3D

A:

Q: The Cassegrain telescope design (dating back to 1672) makes use of the reflective properties of both…

A:

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A:

Q: The Hubble Space Telescope was launched into space in 1990 and now orbits the Earth at 5 mi/sec at a…

A:

Q: A satellite dish is shaped a paraboloid of revolution. This means that parabola around its axis of…

A: We know that parabola equation is y= a x^2 Two points other that (0,0) are (-28,7) and (28,7) a =…

Q: 10. What is the radius of the circle that has an area equal to that of the ellipse+¹=1 64

A: Follow the procedure given below.

Q: A satellite dish has a shape called a paraboloid, where each cross-section is a parabola. Since…

A: A satellite  dish is given which has a paraboloid shape.

Q: Jim and Bob want to exchange secrets from across a crowded whispering gallery. (A whispering gallery…

A:

Q: Radiation is focused to an unhealthy area in a patient’s body using a parabolic reflector,…

A:

Q: A satellite dish measures 64 feet across its opening and 16 feet deep at its center. The receiver…

A:

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A:

Q: 2. A parabolic antenna has a width across the top of 36 inches and the depth at the center is 6…

A:

Q: Find the coordinates of the four points at which the hyperboloid of one sheet given by x2 y? + 16 z?…

A: This question is related to 3D coordinate geometry, We will solve it using given information.

Q: 25 E. A reflecting telescope contains a mirror shaped like a paraboloid of revolution. If the mirror…

A: If we draw the parabola used to form the mirror on a rectangular coordinate system so that the…

Q: Given an ellipse with major axis of length 2a and minor axis of length 2b, the area is given by A =…

A:

Q: Radiation is focused on an unhealthy area in a patient’s body using a semielliptical reflector,…

A:

Q: The parabola y = x² is shifted up by 4 unit %3D What is the equation of the new parabola?

A: Parabola:y=x2  shifted up by 4 units

Q: A satellite dish is in the shape of a parabolic surface. Signals coming from a satellite strike the…

A: Givne that the satellite is in the shape of a parabolic surface. Signals coming from a satellite…

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

A:

Q: A satelliet dish, like the one shown in the fig., is in the shape of a parabolic surface. Signals…

A: It represents an upward parabola with vertex at origin. Therefore equation of the parabola is,…

Q: The center of the hyperbola is at the origin and its transverse axis is on the y-axis. One focus is…

A:

Q: Question 1 of 40 What is the shape of the cross-section formed when a cylinder intersects a plane as…

A:

Q: A satellite dish is shaped like a paraboloid of revolution. This means that it can be formed by…

A: Explanation: According to the given situation,  center of the parabola is (0,0) It means two points…

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A: Let us draw the figure into the cartesian coordinate system with center at origin 0,0  and the major…

Q: Is this true or flalse? In spherical cooordinates, the graph of the surface with equation φ = π/2 is…

A: Spherical coordinate

Q: The surface of equation + 1 is: 16 A circular cylinder An ellipsoid

A: An ellipsoid is a surface that may be obtained from a sphere by deforming it by means of directional…

Q: 1. The distance between the foci of an ellipse is equal to 8 and the second eccentricity is equal to…

A: Solution 1: Given that, distance between foci is 8. eccentricity is 1.33. Since we know that,…

Q: A flashlight is shaped like a paraboloid, so that if its light bulb is placed at the focus, the…

A: Given :  The paraboloid has a depth of 1.8 in  and the diameter on its surface is 6 in .   Schematic…

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: The base of the window is 44 in The height of window is 60 in From the center at base is 15 inches…

Q: vertex. A small hyperbolic reflector 90 ft above the vertex and with one focus that coincides

A: The hyperbola eq y2a2-x2b2=1 where b2=c2-a2 has center (0,0), vertices(0,±a) and foci(0,±c)The…

Q: The curved edge of the door mat below is half an ellipse, a "semi-ellipse". As shown in the figure…

A:

Q: Find the equation of the sphere in standard form that satisfies the given conditions. diameter PQ,…

A: Distance between two points A(x1, y1, z1) and B(x2, y2, z2) is AB = x2-x12 + y2-y12 + z2-z12   The…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.